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Finding the Fourth Proportional to 509.78, 703.32 and 323.22

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Solution

The fourth proportional to 509.78, 703.32 and 323.22 is: 445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.78 : 703.32 = 323.22 : x
  2. Step 2: Convert to fraction form
    509.78/703.32 = 323.22/x
  3. Step 3: Cross multiply
    509.78x = 703.32 × 323.22
  4. Step 4: Simplify right side
    509.78x = 227,327.09
  5. Step 5: Solve for x
    x = 227,327.09/509.78
  6. Step 6: Final answer
    x = 445.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.